Question 2 (13 marks) (a) The daily number of TV sets being sold in a shop has the following probability distribution: Daily number of TV sets sold Probability (i) Find the value of k. (2 marks) 1 2 3 4 k 3k 2k 3k (ii) Calculate the expected value and standard deviation of daily number of TV sets being sold. (5 marks) (iii) Find the probability that the daily number of TV sets being sold is more than 2. (1 mark) -2- (b) Buyers of TV sets can pay in cash or on installment. Suppose 90% of the buyers pay on cash. Among 15 randomly chosen buyers, calculate the probability that at most 2 of them pay on installment. (5 marks)